3D Thermoelastic Interactions in an Anisotropic Lastic Slab Due to Prescribed Surface Temparature

Subject Areas : Engineering

Gh  Debkumar ¹ (Department of Mathematics, Jadavpur University, Kolkata, India)
L  Abhijit ² (Department of Mathematics, Jadavpur University, Kolkata, India)
R  Kumar ³ (Department of Mathematics, Kurukshetra University, India)
R  Surath ⁴ (Department of Mathematics, Brainware College of Engineering, Barasat, Kolkata, India)

Received: 2018-05-30 Accepted : 2018-07-04 Published : 2018-09-30

Keywords: eigenvalue, Differential equation, Generalized thermoelasticity, Normal mode analysis and vector-matrix,

Abstract :

The present paper is devoted to the determination of displacement, stresses and temperature from three dimensional anisotropic half spaces due to presence of heat source. The normal mode analysis technique has been used to the basic equations of motion and generalized heat conduction equation proposed by Green-Naghdi model-II [1]. The resulting equation are written in the form of a vector –matrix differential equation and exact expression for displacement component, stresses, strains and temperature are obtained by using eigen value approach. Finally, temperature, stresses and strain are presented graphically and analyzed.

References:

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